Search a number
-
+
4140451013 is a prime number
BaseRepresentation
bin1111011011001010…
…0100010011000101
3101200112222201000112
43312302210103011
531434423413023
61522504122405
7204414152516
oct36662442305
911615881015
104140451013
1118351a4146
12976766405
1350ca5911a
142b3c74a0d
1519376a478
hexf6ca44c5

4140451013 has 2 divisors, whose sum is σ = 4140451014. Its totient is φ = 4140451012.

The previous prime is 4140450971. The next prime is 4140451033. The reversal of 4140451013 is 3101540414.

4140451013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3998412289 + 142038724 = 63233^2 + 11918^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140451013 - 226 = 4073342149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4140451013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4140451033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070225506 + 2070225507.

It is an arithmetic number, because the mean of its divisors is an integer number (2070225507).

Almost surely, 24140451013 is an apocalyptic number.

It is an amenable number.

4140451013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140451013 is an equidigital number, since it uses as much as digits as its factorization.

4140451013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4140451013 is about 64346.3364380599. The cubic root of 4140451013 is about 1605.7670803329.

Adding to 4140451013 its reverse (3101540414), we get a palindrome (7241991427).

The spelling of 4140451013 in words is "four billion, one hundred forty million, four hundred fifty-one thousand, thirteen".